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Finding the Third Proportional to 86,447.25 and 186,229.13

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Solution

The third proportional to 86,447.25 and 186,229.13 is: 401,184.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,447.25 : 186,229.13 = 186,229.13 : x
  2. Step 2: Convert to fraction form
    86,447.25/186,229.13 = 186,229.13/x
  3. Step 3: Cross multiply
    86,447.25x = 186,229.13 × 186,229.13
  4. Step 4: Simplify right side
    86,447.25x = 34,681,286,998.27
  5. Step 5: Solve for x
    x = 34,681,286,998.27/86,447.25
  6. Step 6: Final answer
    x = 401,184.39

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.